Bound entanglement and continuous variables

Citation
P. Horodecki et M. Lewenstein, Bound entanglement and continuous variables, PHYS REV L, 85(13), 2000, pp. 2657-2660
Citations number
32
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
13
Year of publication
2000
Pages
2657 - 2660
Database
ISI
SICI code
0031-9007(20000925)85:13<2657:BEACV>2.0.ZU;2-#
Abstract
We introduce the definition of generic bound entanglement for the case of c ontinuous variables. We provide some examples of bound entangled states for that case, and discuss their physical sense in the context of quantum opti cs. We raise the question of whether the entanglement of these states is ge neric. As a by-product we obtain a new many parameter family of bound entan gled states with positive partial transpose. We also point out that the '"e ntanglement witnesses" and positive maps revealing the corresponding bound entanglement can easily be constructed.